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arxiv: 1209.0339 · v1 · pith:ZS7KYFN3new · submitted 2012-09-03 · ✦ hep-ph · hep-th

The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions

Roman N. Lee , Vladimir A. Smirnov This is my paper
classification ✦ hep-ph hep-th
keywords homogeneousdimensionalintegralsmastermethodrecurrencecasecuts
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We consider the application of the DRA method to the case of several master integrals in a given sector. We establish a connection between the homogeneous part of dimensional recurrence and maximal unitarity cuts of the corresponding integrals: a maximally cut master integral appears to be a solution of the homogeneous part of the dimensional recurrence relation. This observation allows us to make a necessary step of the DRA method, the construction of the general solution of the homogeneous equation, which, in this case, is a coupled system of difference equations.

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